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16 Apr 2024, 01:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
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Question Stats:
82% (01:21) correct
18%
(01:34)
wrong
based on 145
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A two-digit even number is such that reversing its digits creates an odd number greater than the original number. Which one of the following cannot be the first digit of the original number?
(A) 1
(B) 3
(C) 5
(D) 7
(E) 9
(A) 1
(B) 3
(C) 5
(D) 7
(E) 9
16 Apr 2024, 06:03
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Let the original number = \(xy\), where \(x\) denotes the odd number and \(y\) denotes the odd number.
The reverse number will therefore be = \(yx\)
We are told that the new number is greater than the original number, which means that the digit \(y\) has to be bigger than the digit \(x\). As \(x\) is odd and there is no greater digit than \(9\), if \(x = 9\) then this statement cannot hold.
ANSWER E
The reverse number will therefore be = \(yx\)
We are told that the new number is greater than the original number, which means that the digit \(y\) has to be bigger than the digit \(x\). As \(x\) is odd and there is no greater digit than \(9\), if \(x = 9\) then this statement cannot hold.
ANSWER E
16 Apr 2024, 06:09
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E
A.B a two digit number
For this number to be even, B must be even
reversing its digits creates an odd number
B.A the reverse has to be odd
Means A must be odd
A is the 1st number must be odd (1;3;5;7;9)
B must be even (2;4;6;8;0)
0 has to be excluded because reversing an 2 digit even number with 0 become an 1 digit number and the reverse can never be greater that the previous.
We have to find a number that while reversing will not satisfy the requirements
A has to be at it maximum and B at it minimum 0
As 0 has to be excluded the maximum value of A will then be considered
As we have a list of 1 digits (1,- ,-,-,9)
For A at it maximum
A.B = 98 —->> B.A =89 << 98
94—->> 49
96 ——->>. 69
Posted from my mobile device
A.B a two digit number
For this number to be even, B must be even
reversing its digits creates an odd number
B.A the reverse has to be odd
Means A must be odd
A is the 1st number must be odd (1;3;5;7;9)
B must be even (2;4;6;8;0)
0 has to be excluded because reversing an 2 digit even number with 0 become an 1 digit number and the reverse can never be greater that the previous.
We have to find a number that while reversing will not satisfy the requirements
A has to be at it maximum and B at it minimum 0
As 0 has to be excluded the maximum value of A will then be considered
As we have a list of 1 digits (1,- ,-,-,9)
For A at it maximum
A.B = 98 —->> B.A =89 << 98
94—->> 49
96 ——->>. 69
Posted from my mobile device
